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Simplifying 9(2m + -3) + -4(5 + 3m) = 0 Reorder the terms: 9(-3 + 2m) + -4(5 + 3m) = 0 (-3 * 9 + 2m * 9) + -4(5 + 3m) = 0 (-27 + 18m) + -4(5 + 3m) = 0 -27 + 18m + (5 * -4 + 3m * -4) = 0 -27 + 18m + (-20 + -12m) = 0 Reorder the terms: -27 + -20 + 18m + -12m = 0 Combine like terms: -27 + -20 = -47 -47 + 18m + -12m = 0 Combine like terms: 18m + -12m = 6m -47 + 6m = 0 Solving -47 + 6m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 6m = 0 + 47 Combine like terms: -47 + 47 = 0 0 + 6m = 0 + 47 6m = 0 + 47 Combine like terms: 0 + 47 = 47 6m = 47 Divide each side by '6'. m = 7.833333333 Simplifying m = 7.833333333
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